Stone game, C/C++ Programming

Assignment Help:
A game is played with three piles of stones and two players. At her turn, a player removes one or more stones from the piles. However, if she takes stones from more than one pile, she must remove the same number of stones from each of the selected piles.
In other words, the player chooses some N>0 and removes:
? N stones from any single pile; or ? N stones from each of any two piles (2N total); or ? N stones from each of the three piles (3N total).
The player taking the last stone(s) wins the game.
A winning configuration is one where the first player can force a win. For example, (0,0,13), (0,11,11) and (5,5,5) are winning configurations because the first player can immediately remove all stones.
A losing configuration is one where the second player can force a win, no matter what the first player does. For example, (0,1,2) and (1,3,3) are losing configurations: any legal move leaves a winning configuration for the second player. Consider all losing configurations (xi,yi,zi) where xi = yi = zi = 100. We can verify that S(xi+yi+zi) = 173895 for these.
Find S(xi+yi+zi) where (xi,yi,zi) ranges over the losing configurations with xi = yi = zi = 1000.

Related Discussions:- Stone game

Verification class, I need help to understand and do this assignment ******...

I need help to understand and do this assignment ********************************************************* You are to insert the missing code in the C program given for combinatio

Explain nested classes, Nested Classes Many a times, it becomes essenti...

Nested Classes Many a times, it becomes essential to have a class contain properties of two other classes. One way is to explain a class within another - that is a class with m

Accessibility, What are the legal requirements with which websites must com...

What are the legal requirements with which websites must comply in order to meet the needs of persons with disabilities? Why is maximizing accessibility important to everyone?

201 it, overload assignment opertor to assign the data of one object to ant...

overload assignment opertor to assign the data of one object to anthor

Program to calculate tax - c++, Program to calculate tax: float tax (f...

Program to calculate tax: float tax (float) ; int main() {                 float purchase, tax_amt, total;                 cout                 cin >> purchase

Define register storage class - computer programming, Define Register Stora...

Define Register Storage Class - computer programming? The Storage class register notify the compiler that the associated variables must be stored in high-speed memory register.

Explain about inheritance, Inheritance and Reuse Consider a car manufac...

Inheritance and Reuse Consider a car manufacturing company. When they require building a new car, they have two choices. They can start from the scratch, or they can change an

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd